Factorise 8x⁶+95x³+1

Answer 1

letting u = x^3, you have

8u^2 + 95u + 1
= 1/32 (16u+95-23√17)(16u+95+23√17)
= 1/32 (16x^3+95-23√17)(16x^3+95+23V17)
good luck going further than that!

wolframalpha . com shows the final answer

Answer 2

another factorization is

(2x^2 + 5x + 1)(4x^4 - 10x^3 + 23x^2 - 5x + 1)